{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "#数据准备\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "x=np.random.uniform(-3,3,size=100)\n",
    "X=x.reshape(-1,1)\n",
    "y=0.5*x**2+x+2+np.random.normal(0,1,100)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用线性回归（此案例为欠拟合）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5734177622908355"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.linear_model import LinearRegression\n",
    "lin_reg=LinearRegression()\n",
    "lin_reg.fit(X,y)\n",
    "lin_reg.score(X,y)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x225ccfffc70>]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y_predict=lin_reg.predict(X)\n",
    "plt.scatter(x,y)\n",
    "plt.plot(np.sort(x),y_predict[np.argsort(x)],color=\"r\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.7124151727970887"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"使用均方误差评价\"\"\"\n",
    "from sklearn.metrics import mean_squared_error\n",
    "y_predict=lin_reg.predict(X)\n",
    "mean_squared_error(y,y_predict)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用多项式回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.pipeline import Pipeline\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "def PolynormialRegression(degree):\n",
    "    return Pipeline([\n",
    "        (\"poly\",PolynomialFeatures(degree=degree)),\n",
    "        (\"std_scaler\",StandardScaler()),\n",
    "        (\"lin_reg\",LinearRegression())\n",
    "    ])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0275919674807712"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "poly2_reg=PolynormialRegression(degree=2)\n",
    "poly2_reg.fit(X,y)\n",
    "y2_predict=poly2_reg.predict(X)\n",
    "mean_squared_error(y,y2_predict)#均方误差减小了"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x225cf131e50>]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x,y)\n",
    "plt.plot(np.sort(x),y2_predict[np.argsort(x)],color=\"r\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9657752321138728"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"取degree为10\"\"\"\n",
    "poly2_reg=PolynormialRegression(degree=10)\n",
    "poly2_reg.fit(X,y)\n",
    "y2_predict=poly2_reg.predict(X)\n",
    "mean_squared_error(y,y2_predict)#均方误差减小了\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x225d149cdc0>]"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x,y)\n",
    "plt.plot(np.sort(x),y2_predict[np.argsort(x)],color=\"r\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "过拟合情况"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5279916879734725"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"取degree为100\"\"\"\n",
    "poly2_reg=PolynormialRegression(degree=100)\n",
    "poly2_reg.fit(X,y)\n",
    "y2_predict=poly2_reg.predict(X)\n",
    "mean_squared_error(y,y2_predict)#均方误差减小了\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x225d151a910>]"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x,y)\n",
    "plt.plot(np.sort(x),y2_predict[np.argsort(x)],color=\"r\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
